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olga2289 [7]
3 years ago
8

What is the solution to the equation A/2= -5

Mathematics
2 answers:
dem82 [27]3 years ago
5 0

Answer:

-10

Step-by-step explanation:

It is the easiest equation.

A/2= -5

At first, we have to multiply both the sides by 2. Therefore, we can get,

\frac{A*2}{2} = (-5 × 2)

or, A = -10

Therefore, the value of A is -10. It remains negative because we cannot multiply both the sides by -1. If we do that, we cannot determine the constant.

Answer: A = -10

murzikaleks [220]3 years ago
3 0

Answer:

A = -10

Step-by-step explanation:

A/2 = -5

Multiply both sides by the denominator of the fraction

We have A/2 x2 = -5 x 2

A = -10

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If the sales price is 55.50, and the discount is 75%, what is the original price
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According to a recent Census Bureau report, 12.7% of Americans live below the poverty level. Suppose you plan to sample at rando
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Answer:

a) P(X=10)=(100C10)(0.127)^{10} (1-0.127)^{100-10}=0.0928

b) P(X \leq 10) = 0.2614

c) (1-0.127)^7 (0.127) =0.0491

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=100, p=0.127)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

a. What is the probability that you count exactly 10 in poverty?

For this case we want this probability P(X=10)

P(X=10)=(100C10)(0.127)^{10} (1-0.127)^{100-10}=0.0928

b. What is the probability that you count 10 or less in poverty?  .2614

For this case we want this probability P(X=\leq10)

P(X\leq10)=P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)+P(X=6)+P(X=7)+P(X=8)+P(X=9)+P(X=10)

And we can find the individual probabilities like this:

P(X=0)=(100C0)(0.127)^{0} (1-0.127)^{100-0}=1.263x10^{-6}

P(X=1)=(100C1)(0.127)^{1} (1-0.127)^{100-1}=1.837x10^{-5}

P(X=2)=(100C2)(0.127)^{2} (1-0.127)^{100-2}=0.000132

P(X=3)=(100C3)(0.127)^{3} (1-0.127)^{100-3}=0.000629

P(X=4)=(100C4)(0.127)^{4} (1-0.127)^{100-4}=0.00222

P(X=5)=(100C5)(0.127)^{5} (1-0.127)^{100-5}=0.00620

P(X=6)=(100C6)(0.127)^{6} (1-0.127)^{100-6}=0.0143

P(X=7)=(100C7)(0.127)^{7} (1-0.127)^{100-7}=0.0279

P(X=8)=(100C8)(0.127)^{8} (1-0.127)^{100-8}=0.0471

P(X=9)=(100C9)(0.127)^{9} (1-0.127)^{100-9}=0.0701

P(X=10)=(100C10)(0.127)^{10} (1-0.127)^{100-10}=0.0928

And then repplacing we got:

P(X \leq 10) = 0.2614

c. What is the probability that you start taking the random sample and you find the first person in poverty on the 8th person selected?  .0491

For this case we need after 7 people , 1 in poverty so we can find this probability like this:

(1-0.127)^7 (0.127) =0.0491

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